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Finding the Fourth Proportional to 323.99, 447.14 and 199.62

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Solution

The fourth proportional to 323.99, 447.14 and 199.62 is: 275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.99 : 447.14 = 199.62 : x
  2. Step 2: Convert to fraction form
    323.99/447.14 = 199.62/x
  3. Step 3: Cross multiply
    323.99x = 447.14 × 199.62
  4. Step 4: Simplify right side
    323.99x = 89,257.09
  5. Step 5: Solve for x
    x = 89,257.09/323.99
  6. Step 6: Final answer
    x = 275.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.